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Finding the Fourth Proportional to 18,270, 27,405.90 and 5,958

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Solution

The fourth proportional to 18,270, 27,405.90 and 5,958 is: 8,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270 : 27,405.90 = 5,958 : x
  2. Step 2: Convert to fraction form
    18,270/27,405.90 = 5,958/x
  3. Step 3: Cross multiply
    18,270x = 27,405.90 × 5,958
  4. Step 4: Simplify right side
    18,270x = 163,284,352.20
  5. Step 5: Solve for x
    x = 163,284,352.20/18,270
  6. Step 6: Final answer
    x = 8,937.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.